Average Nusselt Number for Bingham Plastic Fluids from Isothermal Semi-Circular Cylinder Calculator

✖The Modified Prandtl number in the convection formula is defined as the ratio of momentum diffusivity to thermal diffusivity.ⓘ Modified Prandtl Number [Pr]			+10% -10%
✖Modified Rayleigh Number is a dimensionless number associated with buoyancy-driven flow, also known as free or natural convection.ⓘ Modified Rayleigh Number [Ra]			+10% -10%
✖The Nusselt Number is the ratio of convective to conductive heat transfer at a boundary in a fluid. Convection includes both advection and diffusion.ⓘ Nusselt Number [Nu]			+10% -10%

✖Average Nusselt number is the ratio between heat transfer by convection (α) and heat transfer by conduction alone.ⓘ Average Nusselt Number for Bingham Plastic Fluids from Isothermal Semi-Circular Cylinder [Nu_avg]

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Average Nusselt Number for Bingham Plastic Fluids from Isothermal Semi-Circular Cylinder

Formula

`"Nu"_{"avg"} = (1+(0.0023*"Pr"))^(-1.23)* ((0.51)*(("Ra")^(0.25)))+ "Nu"`

Example

`"7.337225"= (1+(0.0023*"5"))^(-1.23)* ((0.51)*(("50")^(0.25)))+ "6"`

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Average Nusselt Number for Bingham Plastic Fluids from Isothermal Semi-Circular Cylinder Solution

STEP 0: Pre-Calculation Summary

Formula Used

Average Nusselt Number = (1+(0.0023*Modified Prandtl Number))^(-1.23)* ((0.51)*((Modified Rayleigh Number)^(0.25)))+ Nusselt Number
Nu_avg = (1+(0.0023*Pr))^(-1.23)* ((0.51)*((Ra)^(0.25)))+ Nu
This formula uses 4 Variables

Variables Used

Average Nusselt Number - Average Nusselt number is the ratio between heat transfer by convection (α) and heat transfer by conduction alone.
Modified Prandtl Number - The Modified Prandtl number in the convection formula is defined as the ratio of momentum diffusivity to thermal diffusivity.
Modified Rayleigh Number - Modified Rayleigh Number is a dimensionless number associated with buoyancy-driven flow, also known as free or natural convection.
Nusselt Number - The Nusselt Number is the ratio of convective to conductive heat transfer at a boundary in a fluid. Convection includes both advection and diffusion.

STEP 1: Convert Input(s) to Base Unit

Modified Prandtl Number: 5 --> No Conversion Required
Modified Rayleigh Number: 50 --> No Conversion Required
Nusselt Number: 6 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Nu_avg = (1+(0.0023*Pr))^(-1.23)* ((0.51)*((Ra)^(0.25)))+ Nu --> (1+(0.0023*5))^(-1.23)* ((0.51)*((50)^(0.25)))+ 6

Evaluating ... ...

Nu_avg = 7.33722545792266

STEP 3: Convert Result to Output's Unit

7.33722545792266 --> No Conversion Required

FINAL ANSWER

7.33722545792266 ≈ 7.337225 <-- Average Nusselt Number

(Calculation completed in 00.020 seconds)

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< 11 Other shapes Calculators

Inner surface temperature of pipe with eccentric lagging

Go Eccentric Lagging Inner Surface Temperature = (Eccentric Lagging Heat Flow Rate*((1/(2*pi*Eccentric Lagging Thermal Conductivity*Eccentric Lagging Length))*(ln((sqrt(((Radius 2+Radius 1)^2)-Distance Between Centers of Eccentric Circles^2)+sqrt(((Radius 2-Radius 1)^2)-Distance Between Centers of Eccentric Circles^2))/(sqrt(((Radius 2+Radius 1)^2)-Distance Between Centers of Eccentric Circles^2)-sqrt(((Radius 2-Radius 1)^2)-Distance Between Centers of Eccentric Circles^2))))))+Eccentric Lagging Outer Surface Temperature

Outer surface temperature of pipe with eccentric lagging

Go Eccentric Lagging Outer Surface Temperature = Eccentric Lagging Inner Surface Temperature-(Eccentric Lagging Heat Flow Rate*((1/(2*pi*Eccentric Lagging Thermal Conductivity*Eccentric Lagging Length))*(ln((sqrt(((Radius 2+Radius 1)^2)-Distance Between Centers of Eccentric Circles^2)+sqrt(((Radius 2-Radius 1)^2)-Distance Between Centers of Eccentric Circles^2))/(sqrt(((Radius 2+Radius 1)^2)-Distance Between Centers of Eccentric Circles^2)-sqrt(((Radius 2-Radius 1)^2)-Distance Between Centers of Eccentric Circles^2))))))

Heat flow rate through pipe with eccentric lagging

Go Eccentric Lagging Heat Flow Rate = (Eccentric Lagging Inner Surface Temperature-Eccentric Lagging Outer Surface Temperature)/((1/(2*pi*Eccentric Lagging Thermal Conductivity*Eccentric Lagging Length))*(ln((sqrt(((Radius 2+Radius 1)^2)-Distance Between Centers of Eccentric Circles^2)+sqrt(((Radius 2-Radius 1)^2)-Distance Between Centers of Eccentric Circles^2))/(sqrt(((Radius 2+Radius 1)^2)-Distance Between Centers of Eccentric Circles^2)-sqrt(((Radius 2-Radius 1)^2)-Distance Between Centers of Eccentric Circles^2)))))

Thermal conductivity for pipe with eccentric lagging

Go Eccentric Lagging Thermal Conductivity = (Eccentric Lagging Heat Flow Rate*(ln((sqrt(((Radius 2+Radius 1)^2)-Distance Between Centers of Eccentric Circles^2)+sqrt(((Radius 2-Radius 1)^2)-Distance Between Centers of Eccentric Circles^2))/(sqrt(((Radius 2+Radius 1)^2)-Distance Between Centers of Eccentric Circles^2)-sqrt(((Radius 2-Radius 1)^2)-Distance Between Centers of Eccentric Circles^2)))))/(2*pi*Eccentric Lagging Length*(Eccentric Lagging Inner Surface Temperature-Eccentric Lagging Outer Surface Temperature))

Length of pipe with eccentric lagging

Go Eccentric Lagging Length = (Eccentric Lagging Heat Flow Rate*(ln((sqrt(((Radius 2+Radius 1)^2)-Distance Between Centers of Eccentric Circles^2)+sqrt(((Radius 2-Radius 1)^2)-Distance Between Centers of Eccentric Circles^2))/(sqrt(((Radius 2+Radius 1)^2)-Distance Between Centers of Eccentric Circles^2)-sqrt(((Radius 2-Radius 1)^2)-Distance Between Centers of Eccentric Circles^2)))))/(2*pi*Eccentric Lagging Thermal Conductivity*(Eccentric Lagging Inner Surface Temperature-Eccentric Lagging Outer Surface Temperature))

Thermal resistance of pipe with eccentric lagging

Go Eccentric Lagging Thermal Resistance = (1/(2*pi*Eccentric Lagging Thermal Conductivity*Eccentric Lagging Length))*(ln((sqrt(((Radius 2+Radius 1)^2)-Distance Between Centers of Eccentric Circles^2)+sqrt(((Radius 2-Radius 1)^2)-Distance Between Centers of Eccentric Circles^2))/(sqrt(((Radius 2+Radius 1)^2)-Distance Between Centers of Eccentric Circles^2)-sqrt(((Radius 2-Radius 1)^2)-Distance Between Centers of Eccentric Circles^2))))

Heat flow through pipe in square section

Go Heat Flow Rate = (Inner Surface Temperature-Outer Surface Temperature)/((1/(2*pi*Length))*((1/(Inside Convection*Cylinder Radius))+((Length/Thermal Conductivity)*ln((1.08*Side of Square)/(2*Cylinder Radius)))+(pi/(2*External Convection*Side of Square))))

Inner surface temperature of pipe in square section

Go Inner Surface Temperature = (Heat Flow Rate*(1/(2*pi*Length))*((1/(Inside Convection*Cylinder Radius))+((Length/Thermal Conductivity)*ln((1.08*Side of Square)/(2*Cylinder Radius)))+(pi/(2*External Convection*Side of Square))))+Outer Surface Temperature

Outer surface temperature of pipe in square section

Go Outer Surface Temperature = Inner Surface Temperature-(Heat Flow Rate*(1/(2*pi*Length))*((1/(Inside Convection*Cylinder Radius))+((Length/Thermal Conductivity)*ln((1.08*Side of Square)/(2*Cylinder Radius)))+(pi/(2*External Convection*Side of Square))))

Thermal Resistance for Pipe in Square Section

Go Thermal Resistance = (1/(2*pi*Length))*((1/(Inside Convection*Cylinder Radius))+((Length/Thermal Conductivity)*ln((1.08*Side of Square)/(2*Cylinder Radius)))+(pi/(2*External Convection*Side of Square)))

Average Nusselt Number for Bingham Plastic Fluids from Isothermal Semi-Circular Cylinder

Go Average Nusselt Number = (1+(0.0023*Modified Prandtl Number))^(-1.23)* ((0.51)*((Modified Rayleigh Number)^(0.25)))+ Nusselt Number

Average Nusselt Number for Bingham Plastic Fluids from Isothermal Semi-Circular Cylinder Formula

Average Nusselt Number = (1+(0.0023*Modified Prandtl Number))^(-1.23)* ((0.51)*((Modified Rayleigh Number)^(0.25)))+ Nusselt Number
Nu_avg = (1+(0.0023*Pr))^(-1.23)* ((0.51)*((Ra)^(0.25)))+ Nu

What is a Bingham Plastic Fluid?

A Bingham plastic is a viscoplastic material that behaves as a rigid body at low stresses but flows as a viscous fluid at high stress. It is named after Eugene C. Bingham who proposed its mathematical form. It is used as a common mathematical model of mudflow in drilling engineering, and in the handling of slurries.

What is Average Nusselt Number?

The average Nusselt number is the ratio between heat transfer by convection (α) and heat transfer by conduction alone.

How to Calculate Average Nusselt Number for Bingham Plastic Fluids from Isothermal Semi-Circular Cylinder?

Average Nusselt Number for Bingham Plastic Fluids from Isothermal Semi-Circular Cylinder calculator uses Average Nusselt Number = (1+(0.0023*Modified Prandtl Number))^(-1.23)* ((0.51)*((Modified Rayleigh Number)^(0.25)))+ Nusselt Number to calculate the Average Nusselt Number, The Average Nusselt Number for Bingham Plastic Fluids from Isothermal Semi-Circular Cylinder formula is defined as heat transfer solely by conduction in terms of modified Prandtl and Rayleigh number. Average Nusselt Number is denoted by Nu_avg symbol.

How to calculate Average Nusselt Number for Bingham Plastic Fluids from Isothermal Semi-Circular Cylinder using this online calculator? To use this online calculator for Average Nusselt Number for Bingham Plastic Fluids from Isothermal Semi-Circular Cylinder, enter Modified Prandtl Number (Pr), Modified Rayleigh Number (Ra) & Nusselt Number (Nu) and hit the calculate button. Here is how the Average Nusselt Number for Bingham Plastic Fluids from Isothermal Semi-Circular Cylinder calculation can be explained with given input values -> 7.337225 = (1+(0.0023*5))^(-1.23)* ((0.51)*((50)^(0.25)))+ 6.

FAQ

What is Average Nusselt Number for Bingham Plastic Fluids from Isothermal Semi-Circular Cylinder?

The Average Nusselt Number for Bingham Plastic Fluids from Isothermal Semi-Circular Cylinder formula is defined as heat transfer solely by conduction in terms of modified Prandtl and Rayleigh number and is represented as Nu_avg = (1+(0.0023*Pr))^(-1.23)* ((0.51)*((Ra)^(0.25)))+ Nu or Average Nusselt Number = (1+(0.0023*Modified Prandtl Number))^(-1.23)* ((0.51)*((Modified Rayleigh Number)^(0.25)))+ Nusselt Number. The Modified Prandtl number in the convection formula is defined as the ratio of momentum diffusivity to thermal diffusivity, Modified Rayleigh Number is a dimensionless number associated with buoyancy-driven flow, also known as free or natural convection & The Nusselt Number is the ratio of convective to conductive heat transfer at a boundary in a fluid. Convection includes both advection and diffusion.

How to calculate Average Nusselt Number for Bingham Plastic Fluids from Isothermal Semi-Circular Cylinder?

The Average Nusselt Number for Bingham Plastic Fluids from Isothermal Semi-Circular Cylinder formula is defined as heat transfer solely by conduction in terms of modified Prandtl and Rayleigh number is calculated using Average Nusselt Number = (1+(0.0023*Modified Prandtl Number))^(-1.23)* ((0.51)*((Modified Rayleigh Number)^(0.25)))+ Nusselt Number. To calculate Average Nusselt Number for Bingham Plastic Fluids from Isothermal Semi-Circular Cylinder, you need Modified Prandtl Number (Pr), Modified Rayleigh Number (Ra) & Nusselt Number (Nu). With our tool, you need to enter the respective value for Modified Prandtl Number, Modified Rayleigh Number & Nusselt Number and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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